A surface with discontinuous isoperimetric profile
Differential Geometry
2019-07-23 v2
Abstract
We show that there is a complete connected 2-dimensional Riemannian manifold with discontinuous isoperimetric profile, answering a question of Nardulli and Pansu.
Cite
@article{arxiv.1803.07375,
title = {A surface with discontinuous isoperimetric profile},
author = {Panos Papasoglu and Eric Swenson},
journal= {arXiv preprint arXiv:1803.07375},
year = {2019}
}
Comments
this paper merged with arXiv:1509.02307 and is superseded by the new version with title: A surface with discontinuous isoperimetric profile and expander manifolds